Manuscript Topics

This Special Issue is devoted to the progress in the application of the Lyapunov methods in the study of different classes of systems and models. Lyapunov techniques are proved to be very successful and have given decisive impetus to the modern development of the qualitative theory (stability, boundedness, almost periodicity, asymptotic properties) of different classes of differential, integral, functional-differential, impulsive, fractional equations. A manifest advantage of this method is that it does not require the knowledge of solutions and therefore has great power in applications. Various modifications of the classical Lyapunov methods are widely used in many fields of science and engineering. Examples include Lyapunov-Krasovskii functional methods, Lyapunov-Razumikhin function methods, piecewise-continuous Lyapunov function methods, fractional Lyapunov function methods and others.

On the other hand, the behavior of many real word phenomena depends on their history and some memory effects. The dynamics of delayed systems has long been and will continue to be one of the dominant themes due to its theoretical and practical significance.

There have been increasing research activities in the application of Lyapunov strategies and delays in control theory. The design of efficient controllers has attracted the attention of a wide audience of researchers.

We invite investigators to contribute original research articles as well as review articles focused on the latest achievements in Lyapunov methods and their applications in systems with delays and controllers design. Both theoretical and application results are welcome. Potential topics include, but are not limited to:
● Lyapunov method
● Lyapunov-Krasovskii method
● Lyapunov-Razumikhin method
● Qualitative theory
● Stability
● Periodicity
● Almost periodicity
● Differential inequalities
● Delays
● Optimal controllers
● Impulsive controllers
● Neurocontrollers
● Fractional controllers
● Fuzzy controllers

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